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Maksim231197 [3]
2 years ago
6

Need help asap please

Mathematics
1 answer:
notka56 [123]2 years ago
3 0

The angle BCD = 120°

<h3>Further explanation</h3>

Given

A parallelogram and four angles

Required

Angle BCD

Solution

In A parallelogram

The sum of the four angles is 360°

Opposite angles are equal /congruent(A=C, B=D)

Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).

We choose a solution by using

Consecutive angles :

∠C+∠B=180°

18x=180°

x=10

∠C=∠BCD =

\tt 12x=12\times 10=120^o

Or we can use another ways :

The sum of the four angles is 360°

∠A+∠B+∠C+∠D=360°

12x+6x+12x+6x=360°

36x=360°

x=10

∠C=∠BCD =

\tt 12x=12\times 10=120^o

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For the filming of a recent sci-fi movie, a model spaceship made to a scale of 1:16 was used. In the movie, the ship is supposed
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Answer: 6.5 feets

Step-by-step explanation:

The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.

In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,

1:16 = x:104

1/16 = x/104

16x = 104

x = 104/16 = 6.5feets

So the length of the model is 6.5 feets

8 0
3 years ago
Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

8 0
2 years ago
Plis help with this. - - -
madreJ [45]

Answer: 16

Step-by-step explanation:

multiplying by negative exponents can be a little tricky. So (1/4x)^-2 becomes 16/x^2 = __/x^2 so the missing number is 16

4 0
3 years ago
Two polarizers are arranged as shown. How much light will reach point X?
d1i1m1o1n [39]

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7 0
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Read 2 more answers
Which equation is true?
enot [183]
Lets solve all of these:-

#1

√361 = 361 · 2
         
         ?
√361 = 361 · 2
√361 = 19
361 · 2 = 722

19 ≠ 722
So this equation is not true

#2:-

√361 = 19²

         ?
√361 = 19²
√361= 19
19² = 19 · 19 = 361

19 ≠ 361
So this equation is not true

√361 = 361 ÷ 2 

         ?
√361 = 361 ÷ 2 
√361 = 19
361 ÷ 2 = 180.5

√361 ≠ 361 ÷ 2 
So this equation is not true

√361 = √19²
√361 = 19
√19² = 19

19 = 19

SO the last one is right. Hope I helped ya!! xD
4 0
3 years ago
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